A Uniform chain of mass 'm' and length 'l' is fixed between two rigid support as shown.Find the tension at the rigid support and at the mid point of the chain.
Answers
Explanation:
A simple mechanics problem.
Consider a rope of mass M and length L, hanging from a rigid support at one end.
Let there be a point P, at length l from the rigid support.
Now we have to calculate tension at this very point. A pretty simple way to do so, is by dividing the rope into two masses (one above the point P and one just below it) connected by an ideal string. The tension in this string will give the tension at length l.
(For the mass of m2,
m2= mass per unit length times length of mass m2)
The beauty of physics allows you to verify your results and “feel” them.
At the lower end of the hanging rope, tension is zero.
Put l=L in the final result. The tension will come out to be zero.
At the uppermost end of the hanging rope, tension will support whole weight of the rope, i.e. mg.
Put l=zero in the final result. You will end up getting T=mg, as expecte
